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Finding the Third Proportional to 669,102,687 and 1,449,389,538

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Solution

The third proportional to 669,102,687 and 1,449,389,538 is: 3,139,622,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,102,687 : 1,449,389,538 = 1,449,389,538 : x
  2. Step 2: Convert to fraction form
    669,102,687/1,449,389,538 = 1,449,389,538/x
  3. Step 3: Cross multiply
    669,102,687x = 1,449,389,538 × 1,449,389,538
  4. Step 4: Simplify right side
    669,102,687x = 2,100,730,032,863,853,568
  5. Step 5: Solve for x
    x = 2,100,730,032,863,853,568/669,102,687
  6. Step 6: Final answer
    x = 3,139,622,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.